-4(2y)+11y=15 how do I solve this equation
Answers
Answer:
y=5
Step-by-step explanation:
multiply the -4 with 2y
combine the -8y with the positive 11y getting 3y
divide the 3 to get y by itself
y=5
Related Questions
Fraction 33/100 as decimal
Donald is planting two types of saplings in his garden.sapling 1 is4 feet tall and grows at the rate of 16 inches per year. Sapling 2 is 5 feet tall and grows at the rate of 12 inches per year.after how many yeas will these saplings be of the same height?
Find the area of the shaded region. Round your answer to the nearest tenth.
Which is the equation of a line that has a slope of 1/2 and passes through point (2, -3)?
Answers
8/2(5)
4/5
.8
10) 8(4-1) x 4
8(3) x 4
24x4
96
12) 9^2 (1+1) + 7
81 (2) + 7
162+7
169
14) 8^2 -1 +4 /2
64-1+4/2
67/2
33.5
18) 11^2 + 2^3 -3 x 4
121 + 8 - 3 x 4
129 -12
117
#72^3÷2(3+2)2^2×(3+2)4×520
Answers
16 × 1 = 16 ounces
C(x) = 3x3 + 2x2 − 18x + 11
C(x) = 3x3 + 2x2 − 18x − 11
C(x) = 2x3 + 2x2 − 18x + 11
Answers
We have been given that the water usage at a car wash is modeled by the equation , where W is the amount of water in cubic feet and x is the number of hours the car wash is open.
The amount of decrease in water used is modeled by , where D is the amount of water in cubic feet and x is time in hours.
The function C(x) will be difference of W(x) and D(x) that is .
Upon substituting both function values in above formula, we will get:
Let us remove parenthesis.
Combine like terms.
Therefore, the function represents the water used by the car wash on a shorter day and option A is the correct choice.
Answer:
a
Step-by-step explanation:
Answers
A = 12 x 8
A = 96 square feet
Answers
Answers
Answer:
The distance between them changing after 10 minutes will be 9.553 mph.
Step-by-step explanation:
The paths of two runners cross at a stop sign (O). One runner is heading south at a constant rate of 6.5 miles per hour towards A while the other runner is heading west at a constant rate of 7 miles per hour towards B.
So, after 10 minutes the first runner covers a distance of miles and the second runner covers a distance of
miles.
Therefore, after 10 minutes their distance will be miles.
Now, the distance between them is given by
AB² = OA² + OB²
Now, differentiating this equation with respect to time t (in hours) we get
⇒
⇒
⇒ mph.
Therefore, the distance between them changing after 10 minutes will be 9.553 mph. (Answer)
Final answer:
The distance between the two runners is not changing after 10 minutes.
Explanation:
To find the rate of change of the distance between the two runners, we can use the concept of relative velocity. The distance is changing due to the motion of both runners, so we need to find the rate at which each runner is approaching or moving away from the other. Since one runner is heading south and the other is heading west, their velocities are perpendicular to each other. We can use the Pythagorean theorem to find their combined velocity and then calculate the rate of change of the distance between them.
Let's consider the southward runner as Runner A and the westward runner as Runner B. The velocity of A is 6.5 miles per hour, and the velocity of B is 7 miles per hour. After 10 minutes, the distance traveled by A can be calculated as (6.5 miles/hour) * (10/60) hours = 1.083 miles. The distance traveled by B can be calculated as (7 miles/hour) * (10/60) hours = 1.167 miles.
Using the Pythagorean theorem, we can calculate the distance between the two runners after 10 minutes:
Distance = sqrt((1.083 miles)^2 + (1.167 miles)^2) ≈ 1.563 miles
To find the rate of change of the distance between them, we can differentiate the equation for the distance with respect to time:
d(Distance)/dt = (1/2)*((2*(1.083 miles)*(0))/(sqrt((1.083 miles)^2 + (1.167 miles)^2))) + (1/2)*((2*(1.167 miles)*(0))/(sqrt((1.083 miles)^2 + (1.167 miles)^2))) = 0
Therefore, the distance between the two runners is not changing after 10 minutes.
Learn more about Relative velocity here:
#SPJ3